Isomorphic classification of the tensor products $E₀\left(exp\alpha i\right)\otimes ̂E_{\infty }\left(exp\beta j\right)$

Peter Chalov, and Vyacheslav Zakharyuta. "Isomorphic classification of the tensor products $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$." Studia Mathematica 204.3 (2011): 275-282. <http://eudml.org/doc/285489>.

@article{PeterChalov2011,
abstract = {It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces $E₀(exp αi) ⊗̂ E_\{∞\}(exp βj)$ and $E₀(exp α̃i) ⊗̂ E_\{∞\}(exp β̃j)$. This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].},
author = {Peter Chalov, Vyacheslav Zakharyuta},
journal = {Studia Mathematica},
keywords = {multirectangular characteristics; tensor product; power Köthe spaces; power series spaces},
language = {eng},
number = {3},
pages = {275-282},
title = {Isomorphic classification of the tensor products $E₀(exp αi) ⊗̂ E_\{∞\}(exp βj)$},
url = {http://eudml.org/doc/285489},
volume = {204},
year = {2011},
}

TY - JOUR
AU - Peter Chalov
AU - Vyacheslav Zakharyuta
TI - Isomorphic classification of the tensor products $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$
JO - Studia Mathematica
PY - 2011
VL - 204
IS - 3
SP - 275
EP - 282
AB - It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$ and $E₀(exp α̃i) ⊗̂ E_{∞}(exp β̃j)$. This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].
LA - eng
KW - multirectangular characteristics; tensor product; power Köthe spaces; power series spaces
UR - http://eudml.org/doc/285489
ER -